What is the Greatest Common Factor of 22424 and 22438?

Greatest common factor (GCF) of 22424 and 22438 is 2.

GCF(22424,22438) = 2

We will now calculate the prime factors of 22424 and 22438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22424 and 22438.

How to find the GCF of 22424 and 22438?

We will first find the prime factorization of 22424 and 22438. After we will calculate the factors of 22424 and 22438 and find the biggest common factor number .

Step-1: Prime Factorization of 22424

Prime factors of 22424 are 2, 2803. Prime factorization of 22424 in exponential form is:

22424 = 2³ × 2803¹

Step-2: Prime Factorization of 22438

Prime factors of 22438 are 2, 13, 863. Prime factorization of 22438 in exponential form is:

22438 = 2¹ × 13¹ × 863¹

Step-3: Factors of 22424

List of positive integer factors of 22424 that divides 22424 without a remainder.

1, 2, 4, 8, 2803, 5606, 11212

Step-4: Factors of 22438

List of positive integer factors of 22438 that divides 22424 without a remainder.

1, 2, 13, 26, 863, 1726, 11219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22424 and 22438. The biggest common factor number is the GCF number.
So the greatest common factor 22424 and 22438 is 2.

Also check out the Least Common Multiple of 22424 and 22438